Prog. Theor. Phys. Vol. 99 No. 1 (1998) pp. 97-108
Cosmological Simulation of Gravitational Weak Lensing in Flat Models
Yukawa Institute for Theoretical Physics,
Kyoto University, Kyoto 606-01,Japan
(Received September 12, 1997)
Statistical averages of optical quantities (the convergence, shear and
amplification) for ray bundles passing through cosmological
inhomogeneities are derived in flat models (the S model with
(Ω0, λ0) = (1.0,0) and the L model with (0.2,0.8)).
Gravitational weak lensing is analyzed by directly
solving null-geodesic equations. The evolution of the
spatial mass distribution is given by N-body simulations in a
tree-code. In the L model all particles are regarded as equivalent
(compact) lens objects with a galactic size and in the S model
particles consist of compact lens objects with a galactic size and
clouds with weaker lens powers. The compact lens objects in the two
models are assumed to have the same mass density.
It is found as a result that the ratios of optical quantities in the S
model to those in the L model increase with the separation
angle (θ) of rays. If θ∼2 arcsec and
360 arcsec, the ratios are ∼1.5 and ∼2.5, respectively,
for sources at z = 1.
DOI : 10.1143/PTP.99.97
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Citing Article(s) :
Progress of Theoretical Physics Vol. 100 No. 1 (1998) pp. 79-90
Angular Diameter Distances in Clumpy Friedmann Universes
Progress of Theoretical Physics Supplement No.133 (1999) pp. 85-113
Various Approaches to Cosmological Gravitational Lensing in Inhomogeneous Models
Kenji Tomita, Premana Premadi and Takahiro T. Nakamura